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The measures of two complementary angles are (2x-7) and (x+4) find x

Answer» 2x-7+x+4=90°(complementary angles)

2x+x-7+4=90

3x-3=90

3x=90+3

3x=93

x=93/3

x=31

We know that, sum of two complementary angles = 90°

∴ (2x – 7) + (x + 4) = 90°

2x - 7 + x + 4 = 90°

⇒ 2x + x – 7 + 4 = 90°

⇒ 3x – 3 = 90°

⇒ 3x = 90 + 3

⇒ 3x = 93

⇒ x = 93/3

x = 31



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